CN109506889B - Design method of ship ice crushing resistance model test based on non-freezing model ice - Google Patents
Design method of ship ice crushing resistance model test based on non-freezing model ice Download PDFInfo
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- B—PERFORMING OPERATIONS; TRANSPORTING
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Abstract
The invention relates to a design method of a ship ice crushing resistance model test based on non-freezing model ice, which comprises the following steps of determining the total length L of a selected ship model1The profile width B and the reduction ratio lambda; determining size A of experimental basin for placing crushed ice in ship crushed ice resistance model test1(ii) a Determining the characteristic length of the model ice; determining the quantity proportion of model ice of each size under the target coverage rate c of the model ice; obtaining the number of the model ice of each size under the target coverage rate c of the model ice according to the number proportion of the model ice of each size under the target coverage rate c of the model ice and the total A of the area of the model ice; the model ice geometry and parameters for each size at the target coverage rate c of the model ice are determined. The invention overcomes the problems of poor economy and poor operability in a freezing model ice experiment of an ice water pool, and provides a design method for developing a ship ice crushing resistance model experiment in a towing pool.
Description
Technical Field
The invention relates to a parameter design method for a ship crushed ice resistance model experiment, wherein unfrozen model ice is used for simulating crushed ice without bending damage, and the method belongs to the field of ship engineering.
Background
The development work in arctic regions is highly appreciated, and the ice crushing region is the most common ice condition. However, the research on the ship in the direction of sailing in the ice breaking area is not common, and the main reason is the lack of basic actual measurement or experimental data of the resistance of the ship in the ice breaking area. Therefore, the development of the ship ice crushing resistance test plays an essential important role.
Model experiments are one of research means for establishing the physical factors, and include ship model experiment methods. The ship model experiment method can be divided into a freezing model ice experiment of an ice water pool and a non-freezing model ice experiment of a conventional towing pool. In the freezing model ice experiment, although the navigation state of a ship in crushed ice can be simulated more truly, the time period for preparing the ice field is long, the ice field meeting the strength requirement can be prepared generally by repeatedly debugging, and the prepared ice field can be only applied to one group of experiments, so that a large amount of manpower and material resources are consumed for carrying out one ship crushed ice resistance model experiment, and the crushed ice operability in the crushed ice field is poor. In the freezing model ice experiment, the ice field is relatively convenient to arrange and saves time, the bending damage of the crushed ice is considered not to be a main component of resistance in the ship sailing process, and the non-freezing model ice can be considered to use a deformation-free material, so that the model ice can be repeatedly used, and the material cost is saved. Therefore, a design method of a ship crushed ice resistance model test based on non-freezing model ice needs to be researched and developed urgently.
Disclosure of Invention
According to the technical problems of scarcity of the ice pond, high difficulty in ice field preparation, long period, high cost and the like, the design method of the ship crushed ice resistance model test based on the non-freezing model ice is provided. The invention provides a parameter design method for a ship model experiment aiming at non-frozen ice, which is characterized in that a non-frozen model ice experiment has obvious advantages in meeting experiment conditions. The invention calculates the distribution of the size and the shape of the model ice according to the statistical rule of actual observation under the assumption of no bending damage, and provides a simple and practical method for building a small watershed by using a fence, so that the state of a real ice crushing area can be accurately simulated. Based on the reason, the method can be popularized and applied to the unfrozen ship ice breaking resistance model experiment in the field of ship engineering.
A design method of a ship ice crushing resistance model test based on non-freezing model ice comprises the following steps,
s1, determining the total length L of the selected ship model1The profile width B and the reduction ratio lambda;
determining size A of experimental basin for placing crushed ice in ship crushed ice resistance model test1(if the water tank is full of crushed ice, the total amount of the required model ice is too large, unnecessary waste is caused, and therefore, according to the purposes of saving and accurate measurement, a small-area basin is circled in the center of the water tank for experiment, in the width direction, a certain influence exists on the experiment by a boundary, generally, the influence of the boundary is weakened to be acceptable when the width W of the experimental basin is more than 3 times of the model width of the ship, and in the length direction, in order to simulate the steady sailing process of the ship in each state of the crushed ice area, the length L of the experimental basin needs to be ensured2At least 5 times the total length of the ship model):
according to the total length L of the selected ship model1And the model width B determines the minimum size of the experimental watershed and further determines the size of the experimental watershed:
L2≥5L1,
W≥3B,
A1=WL2,
wherein L is2The length of the experimental basin and the width of the experimental basin are W;
the arrangement position of the experimental basin in the water tank and the distance from the left edge and the right edge of the experimental basin to the lateral tank wall of the water tank in the width direction are the same; in the length direction, when the bow enters an experimental drainage basin, the ship needs to be ensured to sail at a constant speed for a period of time, namely the flow around the ship model is stable; the trailer stops at the point that the bow is close to but does not reach the end point of the experimental watershed, and the end point of the experimental watershed is a certain distance away from the wall of the pool, so that the influence of the boundary is ensured to be within an acceptable range.
S2, determining the characteristic length of the model ice:
s21, determining the target coverage rate c of the model ice;
s22, obtaining the experimental basin size A according to the step S11And the target coverage rate c of the model ice obtained in the step S21, and determining the total area A of the model ice:
A=cA1;
the invention has the hypothesis that the crushed ice is not bent and damaged, so that certain conditions are required to be met between the length and the thickness of the actual model ice, the damage and the bending of the crushed ice are secondary in the experimental process and can be ignored, and the crushed ice does rigid-body-like motion.
S23, determining the critical characteristic length L of broken ice without bending damage according to the bending theory of the thin plate on the elastic substratec:
Wherein D is the flexural rigidity of ice, satisfying the following formula:
e is the elastic modulus of ice, unit: pa, t is the actual crushed ice thickness, unit: m, ν is the poisson ratio;
k is the elastic stiffness of the substrate and satisfies the following formula:
k=ρwg,
ρwis the density of water, in units: kg/m3G is gravitational acceleration, unit: kg/m2;
S24, determining the critical characteristic length l of the model ice:
wherein, L is the characteristic length of broken ice, satisfies the following formula:
L≤Lc;
only need to crush iceThe characteristic length L is less than the critical characteristic length L of broken icecIt is considered that the crushed ice buckling failure-free assumption is satisfied.
S25, determining the characteristic length l of model ice of each size in the ship crushed ice resistance model test according to the critical characteristic length l of the model icen;
S3, determining the quantity proportion of the model ice of each size under the target coverage rate c of the model ice:
wherein, N (l)n) Is of size lnNumber of model ices, α1、α2、β1And β2Is a coefficient of α1=1.15,α21.87, characteristic length l of model icenIn [ l1,l2]Within the range, the model ice total area satisfies the following formula:
solving the following system of equations to find β1And β2:
S4, obtaining the number of model ice of each size under the target coverage rate c of the model ice according to the number proportion of the model ice of each size under the target coverage rate c of the model ice obtained in the step S3 and the total A of the area of the model ice obtained in the step S22;
s5, determining the geometric shape and parameters of the model ice of each size under the target coverage rate c of the model ice:
the model ice roundness R satisfies the following formula:
wherein d ispIs of equal circumference long circle diameter and d is of equal surfaceDiameter of product circle, and d ═ lnP represents the perimeter of the model ice geometry;
from the above formula, it is understood that the larger R represents the closer the shape of the model ice is to the square, and when d isp=lnWhen R is 1, the model ice shape is a circle.
The model ice geometric shape area S satisfies the following formula:
the caliper diameter is the distance between a pair of circumscribed parallel lines of a shape and can be visually understood as the distance of the shape measured by the caliper. If the pair of parallel wires makes one revolution around the shape, then there is a maximum and minimum distance, defined herein as the maximum caliper diameter D, respectivelymaxAnd a minimum caliper Dmin。
Diameter ratio R of model ice caliperaThe following formula is satisfied:
Ra=Dmax/Dmin;
determining P according to the value of R;
according to P, S and RaA model ice geometry is determined.
The actual construction method of the experimental basin is that a fence with PVC pipes connected through a three-way pipe is built, and in order to enable the PVC pipes to float on the water surface and achieve a good effect of blocking model ice, a pearl wool board is adhered to the outer side wall of the PVC pipes under the water.
The model ice is made of H-shaped PP material, and the material has stable mechanical property, sufficient strength and water insolubility, and is an ideal non-freezing model ice material.
The non-freezing model ice is made of H-type PP material, which is called homo-polypropylene and is named as homo polymer polypropylene in English, and is polymerized by single propylene monomer, and molecular chains have high regularity, so that the material has excellent mechanical property, better strength and high crystallinity, and has the defect of poor impact property. The main material properties of the H-type PP material and sea ice are given in the following table:
comparing the properties in the tables, the density and the friction coefficient of the H-shaped PP material are very similar to those of sea ice, and the motion state of the sea ice can be accurately reproduced in the motion process of the ship, so that the ice crushing resistance of the ship can be accurately estimated; the material has stable mechanical property, sufficient strength, water insolubility and strong operability in the experimental process, can be repeatedly used, and saves the experimental cost.
The invention overcomes the problems of poor economy and poor operability in a freezing model ice experiment of an ice water pool, and provides a design method for developing a ship ice crushing resistance model experiment in a towing pool.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings needed to be used in the description of the embodiments or the prior art will be briefly introduced below, and it is obvious that the drawings in the following description are some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to these drawings without creative efforts.
Fig. 1 is a flowchart of a design method of a ship crushed ice resistance model test based on non-freezing model ice in an embodiment of the invention.
FIG. 2 is a graph of crushed ice size distribution law function.
Fig. 3 is a graph showing the cumulative number of model ices for each size at a target coverage rate c of the model ices (c ═ 0.6) in an embodiment of the present invention.
FIG. 4 is a schematic representation of a model ice geometry (30cm) in an embodiment of the present invention.
Fig. 5 illustrates the overall installation effect of the enclosure in the embodiment of the present invention.
FIG. 6 is a schematic view of the assembly of PVC pipe and pearl wool board in the embodiment of the present invention.
FIG. 7 is a photograph of an experimental watershed according to an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are some, but not all, embodiments of the present invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
As shown in fig. 1-7, a design method of ship crushed ice resistance model test based on non-freezing model ice is characterized by comprising the following steps,
s1, determining the total length L of the selected ship model1The profile width B and the reduction ratio lambda;
in this example, an FPSO model was selected, the reduction ratio λ was 50, and the main dimensions of the model are shown in the following table.
Total length (m) | 4.36 |
Vertical line length (m) | 4.2 |
Type width (m) | 0.656 |
Deep type (m) | 0.364 |
Draught (m) | 0.16 |
L1=4.36m,B=0.656m;
Determining size A of experimental basin for placing crushed ice in ship crushed ice resistance model test1:
According to the total length L of the selected ship model1And the model width B determines the minimum size of the experimental watershed and further determines the size of the experimental watershed:
L2≥5L1=21.8m,
W≥3B=1.968m,
A1=WL2,
wherein L is2The length of the experimental basin and the width of the experimental basin are W;
the final experimental basin size was selected to be 29m × 3.0m × 4.0m, based on the minimum size of the experimental basin and the actual size of the towing tank (170m × 7.0m × 4.0 m).
S2, determining the characteristic length of the model ice:
s21, determining the target coverage rate c of the model ice;
let c be 90%, 80% and 60%;
s22, obtaining the experimental basin size A according to the step S11And the target coverage rate c of the model ice obtained in the step S21, and determining the total area A of the model ice:
A=cA1;
according to c being 90%, 80% and 60%, the corresponding A is2Is 67.5m2、60m2And 45m2
S23, determining the critical characteristic length L of broken ice without bending damage according to the bending theory of the thin plate on the elastic substratec:
Wherein D is the flexural rigidity of ice, satisfying the following formula:
e is the elastic modulus of ice, E is 5GPa, t is the actual crushed ice thickness, t is 1m, ν is Poisson's ratio, ν is 0.3;
k is the elastic stiffness of the substrate and satisfies the following formula:
k=ρwg,
ρwis the density of water, pw=1025kg/m3G is the acceleration of gravity, and g is 9.81kg/m2;
S24, determining the critical characteristic length l of the model ice:
wherein, L is the characteristic length of broken ice, satisfies the following formula:
L≤Lc;
then the process of the first step is carried out,
s25, determining the characteristic length l of model ice of each size in the ship crushed ice resistance model test according to the critical characteristic length l of the model icen10cm, 15cm, 20cm, 25cm and 30cm respectively;
s3, determining the quantity proportion of the model ice of each size under the target coverage rate c of the model ice:
the above equation is a function of the crushed ice size distribution law.
Wherein, N (l)n) Is of size lnNumber of model ices, α1、α2、β1And β2Is a coefficient of α1=1.15,α21.87, characteristic length l of model icenIn [ l1,l2]Within the range, the model ice total area satisfies the following formula:
solving the following system of equations to find β1And β2:
c is 90%, 80% and 60%, respectively, to obtain β corresponding to each1、β2The values are shown in the following table:
target coverage rate | 0.9 | 0.8 | 0.6 |
β1 | 1.776261 | 1.578899 | 1.184174 |
β2 | 0.17498 | 0.155538 | 0.11665378 |
β1、β2And (4) introducing a crushed ice size distribution law function to obtain a cumulative distribution function corresponding to the target coverage rate. Calculating the quantity proportion of model ice of each size under the target coverage rate c of the model ice according to the obtained cumulative distribution function and the scale ratio lambda (calculating the cumulative quantity of 35cm for obtaining the quantity of 30cm by interpolation.)
35cm | 30cm | 25cm | 20cm | 15cm | 10cm | |
Full scale (Km) | 0.0175 | 0.015 | 0.0125 | 0.01 | 0.0075 | 0.005 |
0.9 accumulation | 186 | 222 | 274 | 354 | 493 | 786 |
At present | 36 | 52 | 80 | 139 | 293 | |
0.8 accumulation | 166 | 198 | 244 | 315 | 439 | 699 |
At present | 32 | 46 | 71 | 124 | 261 | |
0.6 accumulation | 124 | 148 | 183 | 236 | 329 | 524 |
At present | 24 | 35 | 53 | 93 | 195 |
S4, obtaining the quantity of the model ice of each size under the target coverage rate c of the model ice according to the quantity proportion of the model ice of each size under the target coverage rate c of the model ice obtained in the step S3 and the total A of the area of the model ice obtained in the step S22, wherein the quantity of the model ice of each size under the target coverage rate c of the model ice is specifically shown in the following table:
target coverage rate | 30cm | 25cm | 20cm | 15cm | 10cm |
0.9 | 197 | 283 | 437 | 758 | 1598 |
0.8 | 175 | 251 | 389 | 674 | 1421 |
0.6 | 131 | 189 | 292 | 505 | 1066 |
The cumulative number distribution with a target coverage of 0.6 is shown in fig. 3.
S5, determining the geometric shape and parameters of the model ice of each size under the target coverage rate c of the model ice:
the model ice roundness R satisfies the following formula:
wherein d ispIs equal circle diameter, d is equal circle diameter, and d is equal to lnP represents the perimeter of the model ice geometry;
the model ice geometric shape area S satisfies the following formula:
diameter ratio R of model ice caliperaThe following formula is satisfied:
Ra=Dmax/Dmin;
statistical data show that R in crushed ice approximately presents a linear relation of about 1.145 +/-0.002, and meanwhile, the smaller the characteristic length L of the crushed ice is, the smaller the fluctuation change is; caliper to diameter ratio RaRange ofAt 1.78. + -. 0.4, and the maximum caliper diameter DmaxThe smaller the fluctuation of the ratio, the smaller R is equal to 1.145, Ra=1.78。
Determining P according to the value of R;
30cm | 25cm | 20cm | 15cm | 10cm | |
P(cm) | 107.91 | 89.93 | 71.94 | 53.96 | 35.97 |
S(m2) | 0.070686 | 0.0491 | 0.0314 | 0.0177 | 0.00785 |
Dmin(cm) | 19.93 | 16.6 | 13.28 | 9.96 | 6.64 |
Dmax(cm) | 35.47 | 29.56 | 23.65 | 17.74 | 11.8 |
according to P, S and RaA model ice geometry is determined.
The geometrical shape of the model ice is selected as a polygon, and the perimeter, the area and the side length relation of the shape in the upper table are met, so that the specific geometrical shape parameters of a more regular polygon can be determined. The calculation methods of each polygon are different, and the non-unique geometric parameters exist according to the conditions, so that specific calculation is not carried out. Only a set of schematic drawings assuming symmetrical long trapezoids, flat trapezoids, rectangles, pentagons, hexagons and ellipses (30cm) is listed here, as shown in fig. 4.
After the experimental watershed is selected, a fence with the size of 29m multiplied by 3.0m needs to be installed in the towing tank to form an ice crushing area for ship navigation. The fence is made of common standard PVC pipes with the length of 4m and the outer diameter of 75 mm. The PVC pipes are connected through the three-way pipe, two holes are drilled in the overlapped part of the PVC pipes and the three-way pipe for reinforcing the connection between the pipe fittings and the three-way pipe, the iron wires are screwed after penetrating through the two holes, and the whole installation effect of the fence is shown in figure 5. In addition, because the PVC pipe is hollow structure, the PVC pipe needs to be slightly modified to float on the water surface and achieve a good effect of intercepting ice blocks. Different from the former method of plugging a weight into a pipe fitting and then sealing two ends of the communicated pipe fitting, a 2cm thick and 2cm wide pearl cotton plate is stuck on the outer side wall of a PVC pipe under water along the length direction of the PVC pipe, one side of the PVC pipe stuck with the pearl cotton plate is positioned right below the water surface when the PVC pipe is installed, and the installation schematic diagram is shown in figure 6. According to the method, the pearl wool board with smaller density provides buoyancy, so that the problem that the model ice slides out when the PVC pipe sinks to the water surface is solved, the whole fence device can achieve the expected ice blocking effect, and the effects of saving cost and reducing construction amount are achieved.
Finally, according to the above calculation results, an experimental watershed photograph with a target coverage of 0.6 was laid out as shown in fig. 7.
Finally, it should be noted that: the above embodiments are only used to illustrate the technical solution of the present invention, and not to limit the same; while the invention has been described in detail and with reference to the foregoing embodiments, it will be understood by those skilled in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some or all of the technical features may be equivalently replaced; and the modifications or the substitutions do not make the essence of the corresponding technical solutions depart from the scope of the technical solutions of the embodiments of the present invention.
Claims (3)
1. A design method of a ship ice crushing resistance model test based on non-freezing model ice is characterized by comprising the following steps,
s1, determining the total length L of the selected ship model1The profile width B and the reduction ratio lambda;
determining size A of experimental basin for placing crushed ice in ship crushed ice resistance model test1:
According to the total length L of the selected ship model1And the model width B determines the minimum size of the experimental watershed and further determines the size of the experimental watershed:
L2≥5L1,
W≥3B,
A1=WL2,
wherein L is2The length of the experimental basin and the width of the experimental basin are W;
s2, determining the characteristic length of the model ice:
s21, determining the target coverage rate c of the model ice;
s22, obtaining the experimental basin size A according to the step S11And the purpose of the model ice obtained in step S21And (4) marking the coverage rate c, determining the total A of the ice area of the model:
A=cA1;
s23, determining the critical characteristic length L of broken ice without bending damage according to the bending theory of the thin plate on the elastic substratec:
Wherein D is the flexural rigidity of ice, satisfying the following formula:
e is the elastic modulus of ice, unit: pa, t is the actual crushed ice thickness, unit: m, ν is the poisson ratio;
k is the elastic stiffness of the substrate and satisfies the following formula:
k=ρwg,
ρwis the density of water, in units: kg/m3G is gravitational acceleration, unit: kg/m2;
S24, determining the critical characteristic length l of the model ice:
wherein, L is the characteristic length of broken ice, satisfies the following formula:
L≤Lc;
s25, determining the characteristic length l of model ice of each size in the ship crushed ice resistance model test according to the critical characteristic length l of the model icen;
S3, determining the quantity proportion of the model ice of each size under the target coverage rate c of the model ice:
wherein, N (l)n) Is of size lnNumber of model ices, α1、α2、β1And β2Is a coefficient of α1=1.15,α21.87, characteristic length l of model icenIn [ l1,l2]Within the range, the model ice total area satisfies the following formula:
solving the following system of equations to find β1And β2:
S4, obtaining the number of model ice of each size under the target coverage rate c of the model ice according to the number proportion of the model ice of each size under the target coverage rate c of the model ice obtained in the step S3 and the total A of the area of the model ice obtained in the step S22;
s5, determining the geometric shape and parameters of the model ice of each size under the target coverage rate c of the model ice:
the model ice roundness R satisfies the following formula:
wherein d ispIs equal circle diameter, d is equal circle diameter, and d is equal to lnP represents the perimeter of the model ice geometry;
the model ice geometric shape area S satisfies the following formula:
diameter ratio R of model ice caliperaThe following formula is satisfied:
Ra=Dmax/Dmin;
determining P according to the value of R;
according to P, S and RaA model ice geometry is determined.
2. The design method of claim 1, wherein the actual construction method of the experimental basin is to construct a fence with PVC pipes connected through a three-way pipe, and a pearl wool board is adhered to the outer side wall of the PVC pipe under water.
3. The design method as claimed in claim 1, wherein the model ice is made of H-type PP material.
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